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Finding the Fourth Proportional to 361,242.90, 498,531.61 and 200,097.93

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Solution

The fourth proportional to 361,242.90, 498,531.61 and 200,097.93 is: 276,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,242.90 : 498,531.61 = 200,097.93 : x
  2. Step 2: Convert to fraction form
    361,242.90/498,531.61 = 200,097.93/x
  3. Step 3: Cross multiply
    361,242.90x = 498,531.61 × 200,097.93
  4. Step 4: Simplify right side
    361,242.90x = 99,755,141,954.24
  5. Step 5: Solve for x
    x = 99,755,141,954.24/361,242.90
  6. Step 6: Final answer
    x = 276,144.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.